Solution with truth table please

Question #4: (5 points) It is known that If you send me an email, then I will finish my program. If you do not send me an email, then I will go to sleep early. If I go to sleep early, I will wake up refreshed. Using rules of inferences and truth table, can you conclude "If I do not finish my program, then I will wake up refreshed"? To simplify the discussion, let: p= You send me an email a= I finish my program r= I go to sleep early I wake up refreshed S